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The Water Cooler
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Math Problem!
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<blockquote data-quote="Perplexed" data-source="post: 4103397" data-attributes="member: 7157"><p>I figured out a formula for this particular situation. There are two possible outcomes - male and female - and N is the number of plants in the group. The total number of possible permutations then is 2^N; you then subtract the two extreme outcomes (all male or all female) from the total, and divide the remainder by the total, and multiply by 100 to get the probability:</p><p></p><p>[(Total-2)/Total] * 100</p><p></p><p>So in the case of six plants, the formula then becomes:</p><p></p><p>2^6 = 64</p><p></p><p>[(64-2)/64] * 100 = 96.875</p><p></p><p>Thus, the probability of getting berries from a group of six plants is close to 97%.</p><p></p><p>By the way - you will never achieve 100% probability of getting berries, no matter how big the group of plants becomes. You can add so many plants to the group that the odds of getting all males or all females becomes vanishingly small, but you’ll never get rid of that possible outcome <img src="/images/smilies/wink.png" class="smilie" loading="lazy" alt=";)" title="Wink ;)" data-shortname=";)" /></p></blockquote><p></p>
[QUOTE="Perplexed, post: 4103397, member: 7157"] I figured out a formula for this particular situation. There are two possible outcomes - male and female - and N is the number of plants in the group. The total number of possible permutations then is 2^N; you then subtract the two extreme outcomes (all male or all female) from the total, and divide the remainder by the total, and multiply by 100 to get the probability: [(Total-2)/Total] * 100 So in the case of six plants, the formula then becomes: 2^6 = 64 [(64-2)/64] * 100 = 96.875 Thus, the probability of getting berries from a group of six plants is close to 97%. By the way - you will never achieve 100% probability of getting berries, no matter how big the group of plants becomes. You can add so many plants to the group that the odds of getting all males or all females becomes vanishingly small, but you’ll never get rid of that possible outcome ;) [/QUOTE]
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